Find the mass of the solid bounded by the planes x + z = 1, x – z = –1, y = 0, and the surface y = z whose density is given by y, z) = 2y + 5.

Find the centroid of the region W lying above the sphere x² + y² + z² = 6 and below the paraboloid z = 4x² - y². Assume the density of 5(x, y, z) = 1. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*,*,*).) (x, y, z) =